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29. Anthony had $24 on him when he went to the mall with two friends. While at the

mall, he bought his friends and himself each an ice cream cone. If x represents

the cost of an ice cream cone, write an algebraic expression to represent how

much money Anthony had left after buying the ice cream.

30. Sam bought 54 bottles of water and 36 bags of kettle corn. Let x represent the

cost of each water bottle and y represent the cost of each bag of popcorn.

a. Write an algebraic expression to represent the total cost of all the items.

b. Use the Distributive Property to rewrite the expression by factoring out the

greatest common factor.

31. Caleb has y amount of dollars in his checking account. He deposits x amount of

dollars per week for 9 weeks. Write an algebraic expression to represent the

amount of money Caleb has in his checking account.

32. Evaluate 4

and 2

. Do you think the same relationship will happen to other

numbers? Provide examples to support your answer.

33. Janice is putting carpet down in her hallway. She has a piece that is 4 feet by 6

feet. Unfortunately, the piece is too short and she needs to add another piece

that is 4 feet by 3 feet to finish the hallway. Use the Distributive Property to write

two different expressions to evaluate the total area of the carpet. Solve both

expressions.

34. Consider the following sequence of numbers: 8

a. Insert operation symbols and/or parentheses in the sequence (without

changing the order of the numbers) so that the value is 17.

b. Insert operation symbols and/or parentheses in the sequence (without

changing the order of the numbers) so that the value is the largest

possible number.

35. Thomas is planning his birthday party and plans to have 8 tables set up. Each

table will have 12 bottles of water and 8 bowls of snacks. How many

refreshments will be provided in all? Write the problem in two different ways.

Solve the problem.

36. The students at Madison Middle School held a fundraiser. They sold chocolate

bars for $1.50 each and $16.00 for a box of one dozen bars. They sold 165

individual chocolate bars and 52 boxes. Each individual bar cost $0.50 and each

box cost $6.00. Write an expression and then solve to show the total profit the

students earned.

37. Write an expression to represent the perimeter of the figure below. Simplify the

expression by combining like terms.

38. Joseph has m dollars. Timothy has three times the amount of money Joseph

has. Karen has six times the amount of money Joseph has. Write an expression

to represent the amount of money Joseph, Timothy and Karen have altogether.

Simplify the expression by combining the like terms.

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NJ Center for Teaching and Learning

Equations And Inequalities Cumulative Review Worksheet With Answers - Nj Center For Teaching And Learning Page 4